Test 1 is scheduled for Friday June 22 during
class. It will be a full-hour test. It will cover all material up to Section 2.6. No calculators will be allowed.
Code Name: You will be asked to supply a code name. Your code
name will be used for posting grades on the course web page. If you
do not supply a code name, your grades will not be posted.
No calculators are allowed. (You
won't need one.)
There are eight questions in Test 1; two of
them have multiple parts.
You must show all work for full credit. Providing
only the answer will score no points.
The total number of points in the test is 60.
It will be graded out of 50.
Important topics:
Basic arithmetic with numbers and variables: addition, subtraction, multiplication,
division, exponentiation, etc.
All definitions and theorems given in class.
Solving inequalities.
Parallel and perpendicular straight lines.
Functions: definition, their graphs, intercepts and zeros.
Operations on functions: addition, subtraction, multiplication, division,
and composition.
Inverse functions: when a function admits an inverse and how to find it
algebraically; the relationship between the graph of a function and that
of its inverse.
Complex numbers: the purpose of introducing complex numbers; complex number
arithmetic: conjugation, modulus, and operations extended from those of
the real numbers.
Zeros of polynomial functions: the Linear Factorization Theorem, test for
rational zeros (the Factor Theorem), the fact that complex zeros occur
in conjugate pairs, the Quadratic Formula, etc.
Shifting of graphs: vertical and horizontal shifts, vertical and horizontal
shrinking/stretch, reflections in the coordinate axes.
Sketching graphs of rational functions: intercepts, singularities, behaviour
near singularities and behaviour at infinity.
